{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_visualization:"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. toctree::\n",
    "   :maxdepth: 1\n",
    "   :hidden:\n",
    "\n",
    "   scatter.ipynb\n",
    "   pcp.ipynb\n",
    "   heatmap.ipynb\n",
    "   petal.ipynb\n",
    "   radar.ipynb\n",
    "   radviz.ipynb\n",
    "   star.ipynb\n",
    "   video.ipynb\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualization\n",
    "\n",
    "Different visualization techniques are available. Each of them has different purposes and is suitable for less or higher dimensional objective spaces. \n",
    "\n",
    "The following visualizations can be used:\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "|Name|Class|Convenience| \n",
    "|---|---|---|\n",
    "|[Scatter Plots (2D/3D/ND)](scatter.ipynb)|Scatter|\"scatter\"|\n",
    "|[Parallel Coordinate Plots (PCP)](pcp.ipynb)|ParallelCoordinatePlot|\"pcp\"|\n",
    "|[Heatmap](heatmap.ipynb)|Heatmap|\"heat\"|\n",
    "|[Petal Diagram](petal.ipynb)|Petal|\"petal\"|\n",
    "|[Radar](radar.ipynb)|Radar|\"radar\"|\n",
    "|[Radviz](radviz.ipynb)|Radviz|\"radviz\"|\n",
    "|[Star Coordinates](star.ipynb)|StarCoordinate|\"star\"|\n",
    "|[Video](star.ipynb)|Video|-|\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each of them is implemented in a class which can be used directly. However, it might\n",
    "be more comfortable to either use the factory function in some cases.\n",
    "For example for scatter plots the following initiates the same object:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# directly using the class\n",
    "from pymoo.visualization.scatter import Scatter\n",
    "plot = Scatter()\n",
    "\n",
    "# the global factory method\n",
    "from pymoo.factory import get_visualization\n",
    "plot = get_visualization(\"scatter\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The advantages of the convenience function is that just by changing the string a different visualization \n",
    "can be chosen (without changing any other import). Moreover, we desire to keep the global interface in the factory the same, whereas the implementation details, such as class names might change. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Please note, that the visualization implementations are just a wrapper around [matplotlib](https://matplotlib.org) and all keyword arguments are still useable.\n",
    "For instance, if two different set of points should be plotted in different colors with different markers in a scatter plot:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 372,
       "width": 498
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "A = np.random.random((20,2))\n",
    "B = np.random.random((20,2))\n",
    "\n",
    "from pymoo.factory import get_visualization\n",
    "plot = get_visualization(\"scatter\")\n",
    "plot.add(A, color=\"green\", marker=\"x\")\n",
    "plot.add(B, color=\"red\", marker=\"*\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This holds for all our visualizations. However, depending on the visualization the matplotlib function that is used and the corresponding keyword arguments might change. For example, in for the PetalWidth Plot polygons are drawn which has different keywords than the plot of matplotlib. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Furthermore, the plots have some default arguments to be used to set them during initialization:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 568
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.visualization.petal import Petal\n",
    "from pymoo.visualization.util import default_number_to_text\n",
    "\n",
    "np.random.seed(5)\n",
    "A = np.random.random((1,6))\n",
    "\n",
    "plot = Petal(\n",
    "    \n",
    "    # change the overall figure size (does not work for all plots)\n",
    "    figsize=(8, 6),\n",
    "    \n",
    "    # directly provide the title (str or tuple for options)\n",
    "    title=(\"My Plot\", {\"pad\" : 30}),\n",
    "    \n",
    "    # plot a legend (tuple for options)\n",
    "    legend=False,\n",
    "    \n",
    "    # make the layout tight before returning\n",
    "    tight_layout=True,\n",
    "    \n",
    "    # the boundaries for normalization purposes (does not apply for every plot\n",
    "    # either 2d array [[min1,..minN],[max1,...,maxN]] or just two numbers [min,max]\n",
    "    bounds=[0,1],\n",
    "    \n",
    "    # if normalized, the reverse can be potted (1-values)\n",
    "    reverse=False,\n",
    "    \n",
    "    # the color map to be used\n",
    "    cmap=\"tab10\",\n",
    "    \n",
    "    # modification of the axis style\n",
    "    axis_style=None,\n",
    "    \n",
    "    # function to be used to plot numbers\n",
    "    func_number_to_text=default_number_to_text,\n",
    "    \n",
    "    # change the axis labels - could be a list just the prefix\n",
    "    axis_labels=[\"Objective %s\" % i for i in range(1,7)],\n",
    ")\n",
    "\n",
    "plot.add(A, label=\"A\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For each visualization a documentation is provided."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
